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BBP question _DF timeline

Forums › Ask ACCA Tutor Forums › Ask the Tutor ACCA FM Exams › BBP question _DF timeline

  • This topic has 1 reply, 2 voices, and was last updated 3 years ago by AvatarJohn Moffat.
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  • March 6, 2023 at 2:36 pm #680243
    AvatarClaire91
    Participant
    • Topics: 13
    • Replies: 0
    • ☆

    AM Co will receive a perpetuity starting in 2 years time of $10,000 per year, increasing by the rate of inflation which is 2%.
    What is the present value of this perpetuity assuming a money cost of capital of 10.2%.

    Dear Tutor,
    I have read the answer in BBP practice book and the answer for above question is $115,740
    After got the real rate of 8% , they then said the perpetuity factor from T2= (1/r)-DF1= (1/0.08)-0.926=11.574

    My question is why taking the DF1 only? Shouldn’t it be DF2 which is 0.826? I mean the question also said the perpetuity start in 2 years time. Why the answer only subtract the DF for 1 year only?

    Thank you

    March 6, 2023 at 3:37 pm #680251
    AvatarJohn Moffat
    Keymaster
    • Topics: 57
    • Replies: 54839
    • ☆☆☆☆☆

    The flows are from time 2 to infinity.

    The discount factor for a perpetuity (1/r) gives the PV from flows from time 1 to infinity, so subtracting the 1 year discount factor gives the factor for 2 to infinity.

    Our free Paper MA lectures on discounting will help you with this (because this part is revision from Paper MA).

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